Greatest Common Factor of 3437 and 3444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 3437, 3444 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3437 and 3444 is 7.

GCF(3437,3444) = 7

GCF of 3437 and 3444

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 3437 and 3444

GCF of 3437 and 3444 is 7

Prime Factorization of 3437


7 3437
491 491
1

Prime factors of 3437 are 7,491. Prime factorization of 3437 in exponential form is:

3437 = 71×4911

Prime Factorization of 3444


2 3444
2 1722
3 861
7 287
41 41
1

Prime factors of 3444 are 2,3,7,41. Prime factorization of 3444 in exponential form is:

3444 = 22×31×71×411

∴ So by taking common prime factors GCF of 3437 and 3444 is 7

Greatest Common Factor of 3437 and 3444 by matching factors method

Factors of 3437

List of positive integer factors of 3437 that divides 3437 without a remainder.

1,7,491,3437

Factors of 3444

List of positive integer factors of 3444 that divides 3444 without a remainder.

1,2,3,4,6,7,12,14,21,28,41,42,82,84,123,164,246,287,492,574,861,1148,1722,3444

Greatest Common Factor

We found the factors and prime factorization of 3437 and 3444. The biggest common factor number is the GCF number.
So the greatest common factor 3437 and 3444 is 7.

Also check out the Least Common Multiple of 3437 and 3444

Properties of GCF 3437 and 3444

(i) The GCF of 3437 and 3444 is associative

GCF of 3437 and 3444 = GCF of 3444 and 3437

Related Greatest Common Factor of 3437

Related Greatest Common Factor of 3444

Frequently Asked Questions on GCF of 3437 and 3444

1. What is the GCF of 3437 and 3444?

Answer: GCF of 3437 and 3444 is 7.

2. What are the Factors of 3437?

Answer: Factors of 3437 are 1, 7, 491, 3437. There are 4 integers that are factors of 3437. The greatest factor of 3437 is 3437.

3. What are the Factors of 3444?

Answer: Factors of 3444 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 41, 42, 82, 84, 123, 164, 246, 287, 492, 574, 861, 1148, 1722, 3444. There are 24 integers that are factors of 3444. The greatest factor of 3444 is 3444.

4. How to Find the GCF of 3437 and 3444?

Answer:

Greatest Common Factor of 3437 and 3444 = 7

Step 1: Find the prime factorization of 3437

3437 = 7 x 491

Step 2: Find the prime factorization of 3444

3444 = 2 x 2 x 3 x 7 x 41

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 3437 and 3444 is 7